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Finding the Fourth Proportional to 509.32, 763.91 and 201.09

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Solution

The fourth proportional to 509.32, 763.91 and 201.09 is: 301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.32 : 763.91 = 201.09 : x
  2. Step 2: Convert to fraction form
    509.32/763.91 = 201.09/x
  3. Step 3: Cross multiply
    509.32x = 763.91 × 201.09
  4. Step 4: Simplify right side
    509.32x = 153,613.66
  5. Step 5: Solve for x
    x = 153,613.66/509.32
  6. Step 6: Final answer
    x = 301.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.